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Finding the Third Proportional to 76,424 and 167,976

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Solution

The third proportional to 76,424 and 167,976 is: 369,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,424 : 167,976 = 167,976 : x
  2. Step 2: Convert to fraction form
    76,424/167,976 = 167,976/x
  3. Step 3: Cross multiply
    76,424x = 167,976 × 167,976
  4. Step 4: Simplify right side
    76,424x = 28,215,936,576
  5. Step 5: Solve for x
    x = 28,215,936,576/76,424
  6. Step 6: Final answer
    x = 369,202.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.